With what acceleration will a body with a mass of 2 kg move if it is acted upon by two perpendicular forces 3 and 4 N?

Given: F1 = 3H Vertical F2 = 4H Horizontal m = 2kg
Find: a =?
Decision:
Fр = ma The resultant of these forces is found using the Pythagorean theorem using the rules for subtraction of vectors. F1 ^ 2 + F2 ^ 2 = Fр ^ 2 3 ^ 2 + 4 ^ 2 = Fр ^ 2 9 + 16 = Fр ^ 2 25 = Fр ^ 2 Fр = 5 (H) Fр = ma => a = Fр / ma = 5H / 2kg = 2.5N / kg
Answer: a = 2.5N / kg.